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Finding the Fourth Proportional to 171,435.92, 257,194.91 and 71,540.53

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Solution

The fourth proportional to 171,435.92, 257,194.91 and 71,540.53 is: 107,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,435.92 : 257,194.91 = 71,540.53 : x
  2. Step 2: Convert to fraction form
    171,435.92/257,194.91 = 71,540.53/x
  3. Step 3: Cross multiply
    171,435.92x = 257,194.91 × 71,540.53
  4. Step 4: Simplify right side
    171,435.92x = 18,399,859,710.57
  5. Step 5: Solve for x
    x = 18,399,859,710.57/171,435.92
  6. Step 6: Final answer
    x = 107,327.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.